List questions from multinomial-coefficients

Published on 23 Mar 2026 - 9:21

61

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Calculating Coefficents of a single variable polynomial

Published on 22 Mar 2026 - 16:54

26

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Weighted sum of specific multinomial coefficients

Published on 23 Mar 2026 - 12:53

25

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Question: Concerning Simplifying Random Walk from 2D to 1D

Published on 23 Mar 2026 - 6:38

118

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Prove $\sum_k{{a+b \choose a+k}{b+c \choose b+k}{c+a \choose c+k}(-1)^k}=\dfrac{(a+b+c)!}{a!b!c!}$

Published on 23 Mar 2026 - 8:09

61

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Combinatorial interpretation of the multinomial coefficient as a product of binomial coefficients

Published on 02 Dec 2023 - 11:59

106

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Extracting coefficients with the power series $(1-x)^{-n}$

Published on 23 Mar 2026 - 3:43

164

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Binomial identity?

Published on 23 Mar 2026 - 0:36

103

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Demonstrating a Binomial Identity? #2 (The exclusion)

Published on 23 Mar 2026 - 11:16

78

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If $(1+px+x^2)^n=1+a_{1}x+a_{2} x^2+....+a_{2n}x^{2n}$, then prove that $(np-pr)a_{r}=(r+1)a_{r+1}+(r-1-2n)a_{r-1}$ for $1<r<2n$

Published on 26 Mar 2026 - 1:04

83

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Multiindex partial derivative higher order product rule, i.e. formula for $\partial^\alpha(fg)$

Published on 03 Jan 2024 - 13:03

56

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Generating Function for Modified Multinomial Coefficients

Published on 23 Mar 2026 - 6:06

127

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How to find the coefficient of $x^3y^4z$ in $ (x+y+z)^5 (1+x+y+z)^{5}$?

Published on 22 Mar 2026 - 23:20

18

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A sum of multinomial coefficients over partitions of integer

Published on 22 Mar 2026 - 17:29

218

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On asymptotics of certain sums of multinomial coefficients

Published on 23 Feb 2026 - 6:38

List Question

Restricted sum version of multinomial theorem

Calculating Coefficents of a single variable polynomial

Weighted sum of specific multinomial coefficients

Question: Concerning Simplifying Random Walk from 2D to 1D

Prove $\sum_k{{a+b \choose a+k}{b+c \choose b+k}{c+a \choose c+k}(-1)^k}=\dfrac{(a+b+c)!}{a!b!c!}$

Combinatorial interpretation of the multinomial coefficient as a product of binomial coefficients

Extracting coefficients with the power series $(1-x)^{-n}$

Binomial identity?

Demonstrating a Binomial Identity? #2 (The exclusion)

If $(1+px+x^2)^n=1+a_{1}x+a_{2} x^2+....+a_{2n}x^{2n}$, then prove that $(np-pr)a_{r}=(r+1)a_{r+1}+(r-1-2n)a_{r-1}$ for $1<r<2n$

Multiindex partial derivative higher order product rule, i.e. formula for $\partial^\alpha(fg)$

Generating Function for Modified Multinomial Coefficients

How to find the coefficient of $x^3y^4z$ in $ (x+y+z)^5 (1+x+y+z)^{5}$?

A sum of multinomial coefficients over partitions of integer

On asymptotics of certain sums of multinomial coefficients

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